You is the triangle angles sum THEOREN, to find the measure of the angle on point C

1 answer

The triangle angle sum theorem states that the sum of the interior angles of a triangle is always 180 degrees. Therefore, if you know the measures of two angles in a triangle, you can easily find the measure of the third angle by subtracting the sum of the two given angles from 180 degrees.

If you know the measures of angles A and B in triangle ABC, you can find the measure of angle C using the formula:

Angle C = 180 degrees - (Angle A + Angle B)

So for example, if angle A = 50 degrees and angle B = 70 degrees, you can find the measure of angle C as:

Angle C = 180 degrees - (50 degrees + 70 degrees)
Angle C = 180 degrees - 120 degrees
Angle C = 60 degrees

Therefore, the measure of angle C in this example is 60 degrees.